5. Answer: (-3, 2)
<u>Step-by-step explanation:</u>
In order to use the substitution method, you need to solve for one of the variables.
2x + 4y = 2
x + y = -1 → y = -x - 1
2x + 4(-x - 1) = 2
2x - 4x - 4 = 2
-2x - 4 = 2
-2x = 6
x = -3
y = -x - 1
= -(-3) - 1
= 3 - 1
= 2
Check:
2x + 4y = 2
2(-3) + 4(2) = 2
-6 + 8 = 2
2 = 2 ![\checkmark](https://tex.z-dn.net/?f=%5Ccheckmark)
Answer:
![\frac{AB}{A''B''} = \frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7BAB%7D%7BA%27%27B%27%27%7D%20%20%3D%20%5Cfrac%7B1%7D%7B4%7D)
Step-by-step explanation:
Given the information:
- A'B'C' reflection over x = −1
- dilation by a scale factor of 4 from the origin
<=> the two triangles are similar to each other, triangles are similar if they have the same shape, but can be different sizes, so A″B″C″ is 4 time bigger than ABC
=> the relationship between ΔABC and ΔA″B″C″
= ![\frac{AB}{A''B''} = \frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7BAB%7D%7BA%27%27B%27%27%7D%20%20%3D%20%5Cfrac%7B1%7D%7B4%7D)
We choose C.
Hope it will find you well.
Real numbers, rational numbers, Integers, Whole numbers, and Natural numbers.
Answer: 3 quart
Step-by-step explanation:
Given
Jason poured 1 gallon 1 quart of water into an empty 2 gallon bucket
1 gallon can be written as 4 quart
So, 2 gallon can be written as 8 quart
Subtract 1 gallon 1 quart(5 quart) from 2 gallon(8 quart) to get the volume added
![\Rightarrow 8-5\\\Rightarrow 3\ \text{quart}](https://tex.z-dn.net/?f=%5CRightarrow%208-5%5C%5C%5CRightarrow%203%5C%20%5Ctext%7Bquart%7D)
So, 3 quart of water must be added to reach 2 gallon capacity.